New Knicks coach Jeff Hornacek and Jackson cemented their shotgun marriage during Friday’s introductory press conference, vowing to continue the triangle offense — with some tweaks.

The only thing missing were the Cuban cigars, as Hornacek just returned from a 30-year wedding anniversary trip with his family to Cuba and Mexico, which delayed this unveiling.

Hornacek, who said he never spoke with Jackson until their six-hour interview in Los Angeles on May 16, paid homage to the offense, in which he has never played or coached. However, Hornacek already is aware of its stigma, sensitive to putting a name on his offense.

“Maybe we’ll call it the circle offense,’’ Hornacek quipped.

“To me, it’s just a way to space the floor,’’ Hornacek said. “You can run any play you want out of the triangle. It’s just reading basketball. It’s going to be a part of our offense. It’s something that’s worked, won championships.”

In his 2 ½ seasons coaching the Suns, Hornacek embraced a speedball attack and wants to get the Knicks into transition instead of having them fall into half-court triangle sets, which often features throwing the ball into the low post and having players read and react.

“We’re going to run the triangle, but I wouldn’t call it the triangle,’’ Hornacek said. “There’s a lot of aspects of the triangle. It seems to be some foreign word. The court is spaced a different way. We can space it out farther and run some things I did in Phoenix. So there will be aspects of the triangle. It’s basic reads. You can call it the triangle or call it what Golden State runs. There’s the idea we can blend it somehow.’’

Hornacek ran a lot of pick-and-rolls in Phoenix, which he said is a way of getting into the triangle, too.

Phil Jackson, Jeff Hornacek and Steve MillsNBAE via Getty Images

“I think stuff we did in Phoenix would be incorporated in it,” Hornacek said. “We’re ‘going to have to practice to speed them up.”

Jackson also seemed sensitive on his offense, teasing that the triangle question was the second of the press conference. The team president said Hornacek once played for Cotton Fitzsimmons, who in the 1970s became a devotee of Tex Winter, the innovator of the triangle.

“It’s all part of basketball,” Jackson said. “Jeff recognized that.”

Jackson, after the season ended seven weeks ago, said he would hire a coach with whom he would be “simpatico.’’ Hornacek, while with the Jazz, played against Jackson’s Bulls in losing two straight NBA Finals in the late 1990s, but said his only words to him before mid-May were “Congratulations on the championship again.’’

Hornacek figured he was a longshot entering the interview, competing against Jackson’s buddy, interim coach Kurt Rambis, and general manager Steve Mills’ choice, David Blatt, and Frank Vogel.

“When my agents called and said, ‘Phil’s going to call you,’ I was, like, ‘Really?’ I was pretty surprised,’’ said Hornacek, who had been in Los Angeles for his daughter’s graduation from USC. “I figured it’d be an hour or two. It was almost six hours. Then we flew to New York and we spoke another six hours. I’m not sure I talked that much to my wife. It was very easy to talk basketball and philosophy. I was surprised because I never really talked to Phil.’’

Hornacek said he thinks he piqued Jackson’s interest because of his triangle knowledge.

HornacekAP

“[It was] the combination of talking about what I knew about the triangle sets, what I did in Phoenix and how it could be incorporated in the same system, how we can blend those two together,’’ Hornacek said. “The philosophy was pretty similar. I felt I knew Phil and had talked to him forever.’’

Their good rapport, however, will only do so much in turning around the 32-50 Knicks, out of the playoffs three straight seasons. But Hornacek said he feels Carmelo Anthony’s presence and Kristaps Porzingis’ potential make them closer than most 50-loss teams.

“Anytime you have a superstar that gives you a chance,’’ Hornacek said. “We have that in Carmelo. It’s a matter of building around him and taking it to other levels. I don’t think we’re that far off. There’s a lot of money in the free-agent market that’s out there to get a couple of guys can help us out. If you have five All-Stars on your team, you’d be set. You have one on the team. You have one who will develop [Porzingis] and one, two guys in free agency, then you got a chance.’’

While Jackson had hoped to give Rambis the permanent job after he named him interim coach in February, he failed to be the “transformative leader’’ Jackson sought. Jackson praised Hornacek’s leadership skills.

“We had a six-hour conversation,’’ Jackson said. “We discussed a lot of the aspects of the philosophy, dealing with players, management, accumulation of talent, coaching young players, millennials, his children — all contributed to that conversation.’’